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never [62]
3 years ago
8

Solve for x. 3x−82=x−6 Enter your answer in the box. x =

Mathematics
1 answer:
My name is Ann [436]3 years ago
6 0
Get like terms together. you might have to move across the equals sign

3x-x=-6+82

2x=76

x=38
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Read 2 more answers
Suppose that the time (in hours) required to repair a machine is an exponentially distributed random variable with mean 1/0.41/0
lbvjy [14]

Answer:

a) P(t>3)=0.30

b) P(t>10|t>9)=0.67

Step-by-step explanation:

We have a repair time modeled as an exponentially random variable, with mean 1/0.4=2.5 hours.

The parameter λ of the exponential distribution is the inverse of the mean, so its λ=0.4 h^-1.

The probabity that a repair time exceeds k hours can be written as:

P(t>k)=e^{-\lambda t }=e^{-0.4t}

(a) the probability that a repair time exceeds 3 hours?

P(t>3)=e^{-0.4*3}=e^{-1.2}= 0.30

(b) the conditional probability that a repair takes at least 10 hours, given that it takes more than 9 hours?

The exponential distribution has a memoryless property, in which the probabilities of future events are not dependant of past events.

In this case, the conditional probability that a repair takes at least 10 hours, given that it takes more than 9 hours is equal to the probability that a repair takes at least (10-9)=1 hour.

P(t>10|t>9)=P(t>1)

P(k>1)=e^{-0.4*1}=0.67

6 0
3 years ago
Luke buys shares for £15.26 each they decrease in value by 3.5% work out the new share price
Murljashka [212]

Answer:

New price is $14.73 Per share

Step-by-step explanation:

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Round to the nearest hundreth

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2 years ago
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Answer:

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Step-by-step explanation:

3 0
3 years ago
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